Crossword Genius

Where southeast Londoners can take a walk (7)

Ross

I believe the answer is:

lambeth

I'm a little stuck... Click here to teach me more about this clue!

'walk' is the definition.
(I've seen this before)

'where southeast londoners can take a' is the wordplay.
I cannot quite understand how this works, but
'take' could be 'be' (being is a kind of taking) and 'be' is present in the answer.
'a' is within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for lambeth that I've seen before include "City council" , "South London borough" , "South London area with palace" , "Location of Archbishop of Canterbury's palace" , "London borough with palace and walk" .)

I've seen this clue in the Evening Standard.
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